1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Quick trigonometry question

  1. Nov 12, 2008 #1
    1. The problem statement, all variables and given/known data
    When dealing with periods and amplitudes in trigonometry, are all complete cycles (for cosine, sine, and tan functions) considered to be 360(degrees)?

    I'm just wondering, because I want to make sure now so that I can apply it to the appropriate questions when the time comes.


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 13, 2008 #2
    I think this is the right thing for you: http://catcode.com/trig/trig09.html

    Also the period of the trigonometric functions is not same for all of them.

    sin(x) and cos(x) have 2k[itex]\pi[/itex] period and tg(x) and ctg(x) have k[itex]\pi[/itex] period.

    So if you have:
    sinx=a:
    [tex]x=\begin{bmatrix}
    arcsin(a)+2k\pi\\
    \pi - arcsin(a)+2k\pi
    \end{bmatrix}[/tex]
    cosx=a:
    [tex]x=\begin{bmatrix}
    \pm arccos(a)+2k\pi \\
    \end{bmatrix}[/tex]
    tgx=a:
    [tex]x=\begin{bmatrix}
    arctg(a) + k\pi \\
    \end{bmatrix}[/tex]
    ctgx=a
    [tex]x=\begin{bmatrix}
    arcctg(a) + k\pi \\
    \end{bmatrix}[/tex]

    I hope this helped you.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Quick trigonometry question
  1. Trigonometry Question (Replies: 4)

  2. Trigonometry question (Replies: 4)

  3. Trigonometry question. (Replies: 1)

  4. Trigonometry question (Replies: 5)

  5. Trigonometry question (Replies: 6)

Loading...